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The notion of pushforward in mathematics is "dual" to the notion of pullback, and can mean a number of different, but closely related things. *Pushforward (differential): the differential of a smooth map between manifolds, and the "pushforward" operations it defines. *Direct image sheaf: the pushforward of a sheaf by a map. *Pushforward (homology): the map induced in homology by a continuous map between topological spaces. *Fiberwise integral: the direct image of a differential form or cohomology by a smooth map, defined by "integration on the fibres". *Pushout (category theory): the categorical dual of pullback. *Pushforward measure: measure induced on the target measure space by a measurable function. *The transfer operator is the pushforward on the space of measurable functions; its adjoint, the pull-back, is the composition or Koopman operator. zh:推出 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pushforward」の詳細全文を読む スポンサード リンク
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